Curvature tensor of pseudo metric semi-symmetric connexions in an almost contact metric manifold.
Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold
The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection. The nature of Ricci flat, concircularly flat, -projectively flat, -projectively flat, --projectively flat, pseudo projectively flat and -pseudo projectively flat anti-invariant submanifolds of trans-Sasakian manifold admitting Zamkovoy connection are discussed. Moreover, Ricci solitons on Ricci flat,...
Curvature tensors and Singer invariants of four-dimensional homogeneous spaces
We show that the Singer invariant of a four-dimensional homogeneous space is at most .
Curvature tensors in dimension four which do not belong to any curvature homogeneous space
A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.
Curvature tensors of complex and double-quadratic elliptic spaces.
Curvature tensors of Riemannian manifold with connection without torsion
Curvature tensors of the space of non-symmetric affine connexion, obtained from the curvature pseudotensors
Curvature tensors on -Einstein Sasakian manifolds.
Curvature testing in 3-dimensional metric polyhedral complexes.
Curvature theory of generalized connection in .
Curvature-decreasing maps are volume-decreasing. On joint work with G. Besson and G. Courtois.
Curvatures and Curves in Hilbert Space.
Curvatures of conflict surfaces in Euclidean 3-space
This article extends to three dimensions results on the curvature of the conflict curve for pairs of convex sets of the plane, established by Siersma [3]. In the present case a conflict surface arises, equidistant from the given convex sets. The Gaussian, mean curvatures and the location of umbilic points on the conflict surface are determined here. Initial results on the Darbouxian type of umbilic points on conflict surfaces are also established. The results are expressed in terms of the principal...
Curvatures of the diagonal lift from an affine manifold to the linear frame bundle
We investigate the curvature of the so-called diagonal lift from an affine manifold to the linear frame bundle LM. This is an affine analogue (but not a direct generalization) of the Sasaki-Mok metric on LM investigated by L.A. Cordero and M. de León in 1986. The Sasaki-Mok metric is constructed over a Riemannian manifold as base manifold. We receive analogous and, surprisingly, even stronger results in our affine setting.
Curve shortening flow and the Banchoff-Pohl inequality on surfaces of nonpositive curvature.
Curve shortening makes convex curves circular.
Curve shortening on surfaces
Curved Casimir operators and the BGG machinery.
Curved flats in symmetric spaces.
Curved thin domains and parabolic equations
Consider the family uₜ = Δu + G(u), t > 0, , , t > 0, , of semilinear Neumann boundary value problems, where, for ε > 0 small, the set is a thin domain in , possibly with holes, which collapses, as ε → 0⁺, onto a (curved) k-dimensional submanifold of . If G is dissipative, then equation has a global attractor . We identify a “limit” equation for the family , prove convergence of trajectories and establish an upper semicontinuity result for the family as ε → 0⁺.